Тип публикации: статья из журнала
Год издания: 2015
Идентификатор DOI: 10.1134/S0021364015230083
Аннотация: The statistical characteristics of the Kraichnan direct cascade for two-dimensional hydrodynamic turbulence are numerically studied (with spatial resolution 8192 ? 8192) in the presence of pumping and viscous-like damping. It is shown that quasi-shocks of vorticity and their Fourier partnerships in the form of jets introduce an essПоказать полностьюential influence in turbulence leading to strong angular dependencies for correlation functions. The energy distribution as a function of modulus k for each angle in the inertial interval has the Kraichnan behavior, ~k–4, and simultaneously a strong dependence on angles. However, angle average provides with a high accuracy the Kraichnan turbulence spectrum Ek = CK?2/3k–3, where ? is the enstrophy flux and the Kraichnan constant CK ? 1.3, in correspondence with the previous simulations. Familiar situation takes place for third-order velocity structure function S3 L which, as for the isotropic turbulence, gives the same scaling with respect to the separation length R and ?, S3 L= C3?R3, but the average over the angles and time differs from its isotropic value. © 2015, Pleiades Publishing, Inc.
Журнал: JETP Letters
Выпуск журнала: Vol. 102, Is. 11
Номера страниц: 760-765